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Squares and geometric series

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#number-theory #polynomials #diophantine-equations #geometric-series
283
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given that the sum of the first n terms of a geometric sequence is $4-(2^{(n+2)})/3^{(2n)}$. find the second term and its common ratio.

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#calculus #sequences-and-series #geometric-series
48
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Can the sums of the first few terms of two geometric progressions with different prime common ratios (start from $1$) be equal?

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#number-theory #prime-numbers #geometric-series
37
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Solve For Multiplying Factors In Geometric Sequence?

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#sequences-and-series #combinatorics #geometric-series
38
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Solve a geometrico-harmonic infinite sum

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#sequences-and-series #geometric-series
50
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Infinite sum of products identity

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#sequences-and-series #products #geometric-series
58
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Definite integral of ln(x) from 1 to a as the limit of a Riemann sum

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#definite-integrals #logarithms #riemann-sum #geometric-series #telescopic-series
27
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Triple summation geometric

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#summation #geometric-series
91
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Series where the sum is 0

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#sequences-and-series #geometric-series
51
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Operational Calculus: $\left ( 1-D \right )^{-1} x^3$ expanded as the geometric series $\left ( 1+D+D^2+D^3+\cdot \cdot \cdot \right )x^3$

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#calculus #operator-theory #geometric-series
86
Views

Show decimal expansions

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#decimal-expansion #geometric-series
109
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To find the sum of the series

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#real-analysis #sequences-and-series #arithmetic-progressions #geometric-series
54
Views

Is my reasonment correct? (infinite piecewise series)

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#sequences-and-series #geometric-series
31
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N-digit geometric numbers which relate to arithmetic progression

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#arithmetic-progressions #geometric-series
50
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The sum of the first and second term in a gp is 108 and the sum of the third and fourth term is 12. Find the 2 possible values for the 1st 2 terms

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#sequences-and-series #geometric-series

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